{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import torch\n",
    "\n",
    "base_output_dir = \"/scratch/gpfs/mengzhou/space10/out/46_train_for_analysis/p0.05_seed3_lora\"\n",
    "\n",
    "train_adam_grad_dir = os.path.join(base_output_dir, \"train_adam_grad\")\n",
    "train_sgd_grad_dir = os.path.join(base_output_dir, \"train_sgd_grad\")\n",
    "train_adam_fix_grad_dir = os.path.join(base_output_dir, \"train_adam_grad_fixadam\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [],
   "source": [
    "import json\n",
    "\n",
    "def load_loss(base_dir):\n",
    "    loss_file = os.path.join(base_dir, \"loss.txt\")\n",
    "    loss = json.load(open(loss_file, \"r\"))[\"loss\"]\n",
    "    return loss\n",
    "\n",
    "def load_grad(base_dir, normalized=False):\n",
    "    if normalized:\n",
    "        grad_file = os.path.join(base_dir, \"all_orig.pt\")\n",
    "    else:\n",
    "        grad_file = os.path.join(base_dir, \"all_unormalized.pt\")\n",
    "    grad = torch.load(grad_file)\n",
    "    return grad\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_adam_grad = []\n",
    "for step in range(1, 101):\n",
    "    train_adam_grad_step_dir = os.path.join(train_adam_grad_dir, f\"step{step}\", \"dim8192\")\n",
    "    batch_grad = load_grad(train_adam_grad_step_dir, normalized=False)\n",
    "    batch_grad = torch.mean(batch_grad, dim=0)\n",
    "    train_adam_grad.append(batch_grad)\n",
    "train_adam_grad = torch.stack(train_adam_grad)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 177,
   "metadata": {},
   "outputs": [],
   "source": [
    "infs = {}\n",
    "loss_diffs = {}\n",
    "tasks = [\"MMLU\", \"TydiQA\", \"BBH\"]\n",
    "for eval_task in tasks:\n",
    "    eval_loss_dir = os.path.join(base_output_dir, \"eval_loss\", eval_task.lower())\n",
    "    eval_sgd_grad_dir = os.path.join(base_output_dir, \"eval_sgd_grad\", eval_task.lower())\n",
    "\n",
    "    eval_loss = []\n",
    "    for step in range(1, 101):\n",
    "        eval_loss_step_dir = os.path.join(eval_loss_dir, f\"step{step}\")\n",
    "        eval_loss.append(load_loss(eval_loss_step_dir))\n",
    "    eval_loss = torch.tensor(eval_loss)\n",
    "\n",
    "    eval_sgd_grad = []\n",
    "    for step in range(1, 101):\n",
    "        eval_sgd_grad_step_dir = os.path.join(eval_sgd_grad_dir, f\"step{step}\", \"dim8192\")\n",
    "        batch_grad = load_grad(eval_sgd_grad_step_dir, normalized=False)\n",
    "        batch_grad = torch.mean(batch_grad, dim=0)\n",
    "        eval_sgd_grad.append(batch_grad)\n",
    "    eval_sgd_grad = torch.stack(eval_sgd_grad)\n",
    "\n",
    "    inf = (eval_sgd_grad * train_adam_grad).sum(dim=1)[1:]\n",
    "    loss_diff = eval_loss[1:] - eval_loss[:-1]\n",
    "\n",
    "    infs[eval_task] = inf\n",
    "    loss_diffs[eval_task] = loss_diff\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([-0.1530, -0.0833,  0.0631,  ..., -0.6926, -0.1575, -0.1929])"
      ]
     },
     "execution_count": 178,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = torch.load(os.path.join(eval_sgd_grad_step_dir, \"all_unormalized.pt\"))\n",
    "b = torch.load(os.path.join(train_adam_grad_step_dir, \"all_orig.pt\"))\n",
    "a.mean(dim=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "figure, axes = plt.subplots(1, 3, figsize=(15, 5))\n",
    "for i, ex in enumerate(axes):\n",
    "    task = tasks[i]\n",
    "    inf = infs[task]\n",
    "    loss_diff = loss_diffs[task]\n",
    "    ex.scatter(inf, -loss_diff)\n",
    "    ex.set_title(task)\n",
    "    ex.set_xlabel(\"Influence\")\n",
    "    ex.set_ylabel(\"Loss Difference\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7392794161921709\n",
      "0.5694431083382138\n",
      "0.4590132411159895\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "for task in tasks:\n",
    "    inf = infs[task]\n",
    "    loss_diff = loss_diffs[task]\n",
    "    print(np.corrcoef(inf.numpy(), -loss_diff.numpy())[0, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [],
   "source": [
    "mmlu: 0.72669043\n",
    "tydiqa: 0.57507655\n",
    "bbh: 0.47372344\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "data_selection",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
